Discrete Local Induction Equation

Sampei Hirose, Jun ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

研究成果: ジャーナルへの寄稿記事

抜粋

The local induction equation, or the binormal flow on space curves is a well-known model of deformation of space curves as it describes the dynamics of vortex filaments, and the complex curvature is governed by the non-linear Schrödinger equation. In this article, we present its discrete analogue, namely, a model of deformation of discrete space curves by the discrete non-linear Schrödinger equation. We also present explicit formulas for both smooth and discrete curves in terms of τ functions of the two-component KP hierarchy.
元の言語英語
記事番号xyz003
ジャーナルJournal of Integrable Systems
4
発行部数1
DOI
出版物ステータス出版済み - 6 9 2019

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これを引用

Hirose, S., Inoguchi, J. I., Kajiwara, K., Matsuura, N., & Ohta, Y. (2019). Discrete Local Induction Equation. Journal of Integrable Systems, 4(1), [xyz003]. https://doi.org/10.1093/integr/xyz003